Question

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QUESTION :-
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A town situated 20 km away from a power plant generating power at 440 volt requires 600 kilowatt of electric power at 200 volt the resistance of the two wire line carrying power is 0.4 ohm per kilometre let down get power from the line through a 3000 to 220 volt step down Transformer at a substation in the town.

1. Estimate the line power loss as heat.

2. How much power must the plant supplier assuming no power?

3. Characterized The Step Up Transformer at the plant.
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Answer 1

Total length of wire = 20×2=40km

Resistance of wire R=40×0.4=16Ω ,

$I_{max} = \frac{P}{V} = \frac{600kW}{3000V} = 200A$

Power loss in the form of heat = ${I}^{2}_{rms} \times R = {200}^{2} \times 16 = 640kW$

Answer 2

Explanation:

$total \: length \: of \: wire = 20 \times 2 = 40km \\ and \: resistance = 40 \times 0.4 = 16ohm \\ power \: loss \: in \: the \: form \: of \: heat = 20 {}^{2} \times 16 = 640kw$